from what I can see of the bark and the leaf shape I think it is a species of Prunus, probably a cherry. If you upload some more detail photos of leaves, bark and any fruit I might be able to get closer to species.

Keep an eye out for flowers in the spring (pink or white). If they are 'double', ie. composed of a much larger number of petals than normal, chances are they won't set fruit - hence your not noticing them.